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Finding the Fourth Proportional to 85,377.97, 117,821.04 and 47,139.90

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Solution

The fourth proportional to 85,377.97, 117,821.04 and 47,139.90 is: 65,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,377.97 : 117,821.04 = 47,139.90 : x
  2. Step 2: Convert to fraction form
    85,377.97/117,821.04 = 47,139.90/x
  3. Step 3: Cross multiply
    85,377.97x = 117,821.04 × 47,139.90
  4. Step 4: Simplify right side
    85,377.97x = 5,554,071,690.05
  5. Step 5: Solve for x
    x = 5,554,071,690.05/85,377.97
  6. Step 6: Final answer
    x = 65,052.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.